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Standard XII

Mathematics

Angle between Two Planes

63. A river h...

Question

63. A river having width 500m is flowing with a speed 3 km/hr. A swimmer who can swim with a speed of 6 km/ hr in still water has to reach directly opposite point on other bank. He should swim at an angle with river. Find the angle

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Similar questions

Q. A river having width

500 m

is flowing with speed

3 k m / h .

A swimmer who can swim with speed

6 k m / h

in still water, has to reach directly opposite point on the other bank. He should swim at angle

θ

with the flow of river. The value of

θ

Q. A swimmer swims in still water at a speed of

5 k m / h r

. He enters a

200 m

wide river, having a river flow speed of

4 k m / h r

. He proceeds to swim at an angle of

127^{\circ}

with the river flow direction. He reaches directly opposite to the starting point and then swims with the river flow to cover a distance of

200 m

. The total time taken by the swimmer to complete his journey is

Q. A swimmer swims in still water at a speed

= 5 k m / h r

. He enters a

200 m

wide river, having river flow speed

= 4 k m / h r

at point A and proceeds to swim at an angle of

127^{\circ}

with the river flow direction. Another point

B

is located directly across

A

on the other side. The swimmer lands on the other bank at a point

C

, from which he walks the distance

C B

with a speed

= 3 k m / h r

. The total time in which he reaches from

A

B

A river is flowing with a speed of 1 km/hr. A swimmer wants to go to point 'C' starting from 'A'. He swims with a speed of 5 km/hr at an angle $θ$ w.r.t the river flow. If AB = BC = 400 m. At what angle with river bank should swimmer swim?

Q. A swimmer can swim in still water with a speed of 3 km/hr. Rate of flow of river is 6 km/hr. If the swimmer swims at angle

60^{o}

with flow of river, find speed of swimmer as seen by person, who is moving in a boat in the river.

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